Mechanoelectromagnetic interaction in isotropic dielectrics with regard for the local displacement of mass

On the basis of the earlier proposed model of electromagnetothermomechanics of polarizable bodies, which takes into account the process of local displacement of mass, key equations for the corresponding scalar and vector potentials are written. The generalization of the Lorentz gauge, at which the equations for calculating the scalar and vector potentials of an electromagnetic field become uncoupled, is proposed. We write a resolving system of equations for potentials in the dimensionless form and obtain a parameter of interrelation of the processes of local displacement of mass and deformation. With the use of this system, the propagation of a plane harmonic wave in an infinite isotropic medium is investigated. It is shown that the model describes the dispersion of a modified elastic wave in the high-frequency region. The obtained results agree with known data presented in the literature and obtained from relations of the gradient theory of piezoelectrics. © Springer Science+Business Media, Inc. 2010.